Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Measure theory and fine properties of functions / Lawrence C. Evans and Ronald F. Gariepy.

By: Contributor(s): Material type: TextTextSeries: Textbooks in mathematicsPublication details: Boca Raton : CRC Press, ©2015.Edition: Revised editionDescription: xiv, 299 p. : illustrations ; 24 cmISBN:
  • 9781482242386 (hardback : acidfree paper)
Subject(s): DDC classification:
  • 515.42 23 Ev92
Contents:
1. General Measure Theory -- 2. Hausdorff Measures -- 3. Area and Coarea Formulas -- 4. Sobolev Functions -- 5. Functions of Bounded Variation, Sets of Finite Perimeter -- 6. Differentiability, Approximation by C1 Functions.
Summary: Measure Theory and Fine Properties of Functions, Revised Edition provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. The book emphasizes the roles of Hausdorff measure and capacity in characterizing the fine properties of sets and functions. Topics covered include a quick review of abstract measure theory, theorems and differentiation in ℝn, Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas, and Sobolev functions as well as functions of bounded variation.
Tags from this library: No tags from this library for this title. Log in to add tags.
Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.42 Ev92 (Browse shelf(Opens below)) Available 137045
Total holds: 0

Includes bibliographical references and index.

1. General Measure Theory --
2. Hausdorff Measures --
3. Area and Coarea Formulas --
4. Sobolev Functions --
5. Functions of Bounded Variation, Sets of Finite Perimeter --
6. Differentiability, Approximation by C1 Functions.

Measure Theory and Fine Properties of Functions, Revised Edition provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. The book emphasizes the roles of Hausdorff measure and capacity in characterizing the fine properties of sets and functions. Topics covered include a quick review of abstract measure theory, theorems and differentiation in ℝn, Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas, and Sobolev functions as well as functions of bounded variation.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in